Finding the Fourth Proportional to 78.02, 107.69 and 52.77

Step by Step Solution

1. Step 1: Write the proportion equation
   78.02 : 107.69 = 52.77 : x
2. Step 2: Convert to fraction form
   78.02/107.69 = 52.77/x
3. Step 3: Cross multiply
   78.02x = 107.69 × 52.77
4. Step 4: Simplify right side
   78.02x = 5,682.54
5. Step 5: Solve for x
   x = 5,682.54/78.02
6. Step 6: Final answer
   x = 72.84